On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system
From MaRDI portal
Publication:2659321
DOI10.1007/s10955-020-02648-3zbMath1466.35344arXiv1804.07002OpenAlexW3093328879MaRDI QIDQ2659321
Jian-Guo Liu, Peter Pickl, Hui Huang
Publication date: 26 March 2021
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.07002
Interacting particle systems in time-dependent statistical mechanics (82C22) Brownian motion (60J65) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)
Related Items (12)
Zero-Inertia Limit: From Particle Swarm Optimization to Consensus-Based Optimization ⋮ On the mean‐field limit for the consensus‐based optimization ⋮ Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation ⋮ Global weak solutions to the Vlasov–Poisson–Fokker–Planck–Navier–Stokes system ⋮ On the global convergence of particle swarm optimization methods ⋮ Mean-Field Limit Derivation of a Monokinetic Spray Model with Gyroscopic Effects ⋮ Learning interacting particle systems: Diffusion parameter estimation for aggregation equations ⋮ A note on the mean-field limit for the particle swarm optimization ⋮ Propagation of chaos in the nonlocal adhesion models for two cancer cell phenotypes ⋮ Propagation of chaos: a review of models, methods and applications. II: Applications ⋮ Ensemble Kalman Sampler: Mean-field Limit and Convergence Analysis ⋮ A family of interacting particle systems pinned to their ensemble average
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Clarification and complement to ``Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and Fitzhugh-Nagumo neurons
- On mean field limits for dynamical systems
- Mean field limit and propagation of chaos for Vlasov systems with bounded forces
- Propagation of chaos for the 2D viscous vortex model
- A new model for self-organized dynamics and its flocking behavior
- Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing
- Vortex methods in two-dimensional fluid dynamics
- Initiation of slime mold aggregation viewed as an instability
- Uniqueness of the solution to the Vlasov--Poisson system with bounded density
- The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
- Vlasov equations
- Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
- Discrete-in-time random particle blob method for the Keller-Segel equation and convergence analysis
- Identification of the dilute regime in particle sedimentation
- Quantitative estimates of propagation of chaos for stochastic systems with \(W^{-1,\infty}\) kernels
- Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions
- Propagation of chaos for the two-dimensional Navier-Stokes equation
- Regular solutions of the Vlasov-Poisson-Fokker-Planck system.
- Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system
- Propagation of chaos for the Keller-Segel equation with a logarithmic cut-off
- Scaling limit for interacting Ornstein-Uhlenbeck processes
- A review of the mean field limits for Vlasov equations
- Propagation of chaos for large Brownian particle system with Coulomb interaction
- A mean field limit for the Vlasov-Poisson system
- Propagation of chaos for the Keller-Segel equation over bounded domains
- Propagation of chaos in neural fields
- Hydrodynamic limit for interacting Ornstein-Uhlenbeck particles.
- STOCHASTIC MEAN-FIELD LIMIT: NON-LIPSCHITZ FORCES AND SWARMING
- Random walk with persistence and external bias
- Particle, kinetic, and hydrodynamic models of swarming
- Dynamics of Charged Particles and their Radiation Field
- Particle approximation of Vlasov equations with singular forces: Propagation of chaos
- Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in $1$ and $2$ space dimensions
- Convergence of the random vortex method
- Convergence of the Random Vortex Method in Two Dimensions
- Convergence of Vortex Methods for Euler’s Equations. II
- Vortex Methods. I: Convergence in Three Dimensions
- Vortex Methods. II: Higher Order Accuracy in Two and Three Dimensions
- Convergence of Vortex Methods for Euler's Equations
- Long-time behaviour for solutions of the Vlasov-Poisson-Fokker-Planck equation
- Asymptotic Behavior of an Initial-Boundary Value Problem for the Vlasov--Poisson--Fokker--Planck System
- Learning interacting particle systems: Diffusion parameter estimation for aggregation equations
- The Numerical Analysis of Random Particle Methods Applied to Vlasov–Poisson Fokker-Planck Kinetic Equations
- Error estimate of a random particle blob method for the Keller-Segel equation
- Propagation of chaos for the Vlasov–Poisson–Fokker–Planck equation with a polynomial cut-off
- Gravitational N-Body Simulations
- Mean-Field Limits for Some Riesz Interaction Gradient Flows
- Optimal Transport
This page was built for publication: On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system